Question
Find the polynomial having roots at $ 7 $ , $ 2 $ , $ 0 $ and $ 19 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-28x^3+185x^2-266x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 7 $ | $ x-7 $ |
| $ 2 $ | $ x-2 $ |
| $ 0 $ | $ x $ |
| $ 19 $ | $ x-19 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-7 \right) \cdot \left( x-2 \right) \cdot x \cdot \left( x-19 \right) = x^4-28x^3+185x^2-266x $$This page was created using
Polynomial From Roots Calculator